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Modulo Arithmetic & Congruence · Question 69 of 97

Question 69

MediumOriginal question

15 August 2026 is a Saturday. On which day of the week does 15 August 2027 fall?

Options for question 69

Show the answer and explanation
CorrectNot quiteAnswer C

Correct answer: C

Explanation

  1. The days between are 365, as no 29 February falls in between, and 365=7×52+1365 = 7 \times 52 + 1, so 365≡1(mod7)365 \equiv 1 \pmod{7}.

  2. So the day moves on by one: Sunday.

Worth noting

Monday counts 366 days, but 2027 is not a leap year.

Concept
Calendars and congruence
Typical time
90 s
Your time
—
The rule this testsSolving with congruences
Practise this chapter →

Ten questions from Modulo Arithmetic & Congruence, at your own pace.

Practise this chapter →

Ten questions from Modulo Arithmetic & Congruence, at your own pace.